6(x+3)-(x-5)=20

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Solution for 6(x+3)-(x-5)=20 equation:


Simplifying
6(x + 3) + -1(x + -5) = 20

Reorder the terms:
6(3 + x) + -1(x + -5) = 20
(3 * 6 + x * 6) + -1(x + -5) = 20
(18 + 6x) + -1(x + -5) = 20

Reorder the terms:
18 + 6x + -1(-5 + x) = 20
18 + 6x + (-5 * -1 + x * -1) = 20
18 + 6x + (5 + -1x) = 20

Reorder the terms:
18 + 5 + 6x + -1x = 20

Combine like terms: 18 + 5 = 23
23 + 6x + -1x = 20

Combine like terms: 6x + -1x = 5x
23 + 5x = 20

Solving
23 + 5x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + 5x = 20 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = 20 + -23
5x = 20 + -23

Combine like terms: 20 + -23 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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